824442880 has 152 divisors (see below), whose sum is σ = 2151673848. Its totient is φ = 301989888.

The previous prime is 824442859. The next prime is 824442881. The reversal of 824442880 is 88244428.

It can be written as a sum of positive squares in 4 ways, for example, as 339738624 + 484704256 = 18432^2 + 22016^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824442881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22282222 + ... + 22282258.

It is an arithmetic number, because the mean of its divisors is an integer number (14155749).

Almost surely, 2^824442880 is an apocalyptic number.

824442880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075836924).

824442880 is an abundant number, since it is smaller than the sum of its proper divisors (1327230968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

824442880 is an frugal number, since it uses more digits than its factorization.

824442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 824442880 is about 28713.1133804748. The cubic root of 824442880 is about 937.6775623380.

The spelling of 824442880 in words is "eight hundred twenty-four million, four hundred forty-two thousand, eight hundred eighty".